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Finding the Fourth Proportional to 272,112.92, 408,078.64 and 114,311.96

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Solution

The fourth proportional to 272,112.92, 408,078.64 and 114,311.96 is: 171,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,112.92 : 408,078.64 = 114,311.96 : x
  2. Step 2: Convert to fraction form
    272,112.92/408,078.64 = 114,311.96/x
  3. Step 3: Cross multiply
    272,112.92x = 408,078.64 × 114,311.96
  4. Step 4: Simplify right side
    272,112.92x = 46,648,269,172.53
  5. Step 5: Solve for x
    x = 46,648,269,172.53/272,112.92
  6. Step 6: Final answer
    x = 171,429.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.